Variable annuities contain complex guarantees, whose fair market value cannot be calculated in closed form. To value the guarantees, insurance companies rely heavily on Monte Carlo simulation, which is extremely computationally demanding for large portfolios of variable annuity policies....

The Lucas (1978) Tree Model lies at the heart of modern macro-finance. At its core, it provides an analysis of the equilibrium price of a long-lived asset in an exchange economy where consumption is the objective, and the sole purpose of the asset is to smooth consumption through time....

We propose Quantum Majorization as a way of comparing and ranking correlation matrices, with the aim of assessing portfolio risk in a unified framework. Quantum majorization is a partial order in the space of correlation matrices, which are evaluated through their spectra. We discuss the...